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199607688 = 233272111877
BaseRepresentation
bin10111110010111…
…00010110001000
3111220121010021100
423321130112020
5402044421223
631450141400
74642431420
oct1371342610
9456533240
10199607688
11a2745235
1256a21860
133247a877
141c71d480
15127cd043
hexbe5c588

199607688 has 96 divisors (see below), whose sum is σ = 621092160. Its totient is φ = 56730240.

The previous prime is 199607671. The next prime is 199607747. The reversal of 199607688 is 886706991.

199607688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105406 + ... + 107282.

It is an arithmetic number, because the mean of its divisors is an integer number (6469710).

Almost surely, 2199607688 is an apocalyptic number.

199607688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199607688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310546080).

199607688 is an abundant number, since it is smaller than the sum of its proper divisors (421484472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199607688 is a wasteful number, since it uses less digits than its factorization.

199607688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 199607688 is about 14128.2584914065. The cubic root of 199607688 is about 584.4209216031.

The spelling of 199607688 in words is "one hundred ninety-nine million, six hundred seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 211 252 422 504 633 844 1266 1477 1688 1877 1899 2532 2954 3754 3798 4431 5064 5631 5908 7508 7596 8862 11262 11816 13139 13293 15016 15192 16893 17724 22524 26278 26586 33786 35448 39417 45048 52556 53172 67572 78834 105112 106344 118251 135144 157668 236502 315336 396047 473004 792094 946008 1188141 1584188 2376282 2772329 3168376 3564423 4752564 5544658 7128846 8316987 9505128 11089316 14257692 16633974 22178632 24950961 28515384 33267948 49901922 66535896 99803844 199607688